Answer:
x=4
Step-by-step explanation:
3(-4x+5)=12
3(-4x) + 3(5)=12
-12x+15=12
<u> -15</u><u>=-15</u>
-12x=-3
-x = -4
Since your x is negative change the signs
The answers are B & C.
First thing to d
o is convert Radians to Degrees. 1 radians = 180/pi
. So, 3.5 radians times 180 divided by
= 200.5352283 or which could be rounded of to 200.54. Thus, confirming choice letter C and negating choices A and D.
Next thing to check is choice letter B. To do this, we need to convert the decimal value of the computed answer which is 0.5352283 to minutes and seconds by the following conversion factors.
1 degree = 60 mins
1 minute = 60 seconds
Now, we multiply 0.5352283 by 60 to get 32.113698 minutes, thus
32 minutesthen multiply 0.113698 by 60 to get 6.82188 ~
7 seconds.therefore, conversion would yield an answer 200 degrees 32 minutes and 7 seconds.
Answer:
⅔πx³
Step-by-step explanation:
The formula for the volume of a cone is
V = ⅓πr²h
Let x = radius of base.
Then 2x = height, and
V = ⅓πx²·2x = ⅔πx³
Answer:
8 boxes of pens, 3 boxes of pencils
Step-by-step explanation:
120 is 3 boxes of pencils
120 is 8 boxes of pens
Answer:
y-coordinate is 5 or -1.
Step-by-step explanation:
Point A is at (x, 2) and B is at (x+6, 2). Since AB must lie on the line y=2 and be 6 units long. Point C is on the line x = -3 . So let C be at (-3, y).
Since ΔABC is a right angle, then point C must have the same x-coordinate as point A. Therefore, A(-3, 2) and B(2, 2).
The area of ΔABC is 6. So,
9 = 1/2 (b)(h)
where b is the base and h is the height.
so b = 6 and h = AC
Solving this for C gives
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
Point C must lie 3 units above point A or 3 units below the point A. If it lies 3 units above, then it has a y-coordinate of 2 + 3 = 5.
If it lies 3 units below, it has a y-coordinate 2 - 3 = -1.
Therefore, y-coordinate is 5 or -1.
Step-by-step explanation: